New N=2 Superconformal Field Theories in Four Dimensions
P.C. Argyres, M.R. Plesser, N. Seiberg, and E. Witten

TL;DR
This paper identifies new N=2 superconformal field theories in four dimensions as fixed points of SU(2) N=2 supersymmetric QCD, analyzing their operator dimensions, symmetries, and Higgs branches.
Contribution
It introduces novel N=2 superconformal field theories and clarifies their structure through the spectrum of relevant deformations and geometric singularities.
Findings
Spectrum matches deformations of y^2 = x^3 singularity
Relations among operator dimensions and symmetries established
New fixed points characterized in the context of supersymmetric QCD
Abstract
New examples of N=2 supersymmetric conformal field theories are found as fixed points of SU(2) N=2 supersymmetric QCD. Relations among the scaling dimensions of their relevant chiral operators, global symmetries, and Higgs branches are understood in terms of the general structure of relevant deformations of non-trivial N=2 conformal field theories. The spectrum of scaling dimensions found are all those compatible with relevant deformations of a y^2 = x^3 singular curve.
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